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An Amalgamation Theorem For Soluble Groups

Published online by Cambridge University Press:  20 November 2018

Felix Leinen
Felix Leinen*
Affiliation:
Fachbereich 17 - Mathematik Johannes-Gutenberg-Universitât Saarstr. 21 6500 Mainz West-Germany
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Abstract

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A theorem of G. Higman about the embeddability of amalgams within the class of all finite ρ-groups is generalized to classes of soluble groups. We also give best possible bounds for the solubility lengths of the constructed completions. And, as an application, the super-soluble amalgamation bases in the class of all finite soluble π-groups are determined.

Keywords

20F16 20E22
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 9 - 18
Copyright
Copyright © Canadian Mathematical Society 01

References

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